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Finding the Third Proportional to 334,828.69 and 790,246.13

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Solution

The third proportional to 334,828.69 and 790,246.13 is: 1,865,099.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,828.69 : 790,246.13 = 790,246.13 : x
  2. Step 2: Convert to fraction form
    334,828.69/790,246.13 = 790,246.13/x
  3. Step 3: Cross multiply
    334,828.69x = 790,246.13 × 790,246.13
  4. Step 4: Simplify right side
    334,828.69x = 624,488,938,077.52
  5. Step 5: Solve for x
    x = 624,488,938,077.52/334,828.69
  6. Step 6: Final answer
    x = 1,865,099.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.